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In a recent experiment by Chen, Roesler, and Mochel, a new transition was found in the superfluid ⁴He film on a hydrogen surface, with a transition temperature below the Kosterlitz-Thouless transition temperature. We suggest that the intermediate phase between these two transitions is a lattice form by the superfluid vortices and antivortices. The transverse phonon mode of this lattice is identified with the ``extra mode'' detected in the third sound measurement.
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Shou-Cheng Zhang (1993) studied this question.
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